Let be an open set if there exists an r > 0 such that B(x,r) . B(x.r) meaning a ball centered on x with radius r. 1) Let a . Prove that for all B(a, ) is open 2) Show that if are open in then also open
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be an open set if
there exists an r > 0 such that B(x,r)
. B(x.r) meaning a ball centered on x with radius r.
. Prove that for all
B(a,
) is open
are open in
then
also open
